497705980636800 has 1536 divisors, whose sum is σ = 2077951252608000. Its totient is φ = 115250913607680.

The previous prime is 497705980636769. The next prime is 497705980636801. The reversal of 497705980636800 is 8636089507794.

497705980636800 is a `hidden beast` number, since 497 + 7 + 0 + 59 + 8 + 0 + 6 + 3 + 6 + 80 + 0 = 666.

It is a super-2 number, since 2×497705980636800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (497705980636801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51421214361 + ... + 51421224039.

It is an arithmetic number, because the mean of its divisors is an integer number (1352832846750).

Almost surely, 2^{497705980636800} is an apocalyptic number.

497705980636800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 497705980636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038975626304000).

497705980636800 is an abundant number, since it is smaller than the sum of its proper divisors (1580245271971200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

497705980636800 is a wasteful number, since it uses less digits than its factorization.

497705980636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12435 (or 12412 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 497705980636800 in words is "four hundred ninety-seven trillion, seven hundred five billion, nine hundred eighty million, six hundred thirty-six thousand, eight hundred".